{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "from draw3d  import *\n",
    "from draw2d  import *\n",
    "from colors import *\n",
    "from vectors import *\n",
    "from matplotlib.patches import Polygon\n",
    "from matplotlib.collections import PatchCollection\n",
    "from math import sqrt\n",
    "from math import isqrt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 三维向量\n",
    "1. 是大小、方向和高度组成的向量\n",
    "2. 包含有二维向量的所有信息\n",
    "3. 二维向量可以表示为高度为0(x,y,0)的三维向量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw3d(\n",
    "    Points3D((2,2,2),(1,-2,-2)),\n",
    "    Arrow3D((2,2,2)),\n",
    "    Arrow3D((1,-2,-2)),\n",
    "    Segment3D((2,2,2),(1,-2,-2)),\n",
    "    Box3D(2,2,2),\n",
    "    Box3D(1,-2,-2)\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 三维向量的加法"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$(x_1 ,y_1 , z_1) + (x_2 ,y_2 , z_2) = (x_1+x_2 , y_1+y_2 , z_1+z_2)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def add(*vectors):\n",
    "    by_coordinate = zip(*vectors)\n",
    "    coordinate_sums = [sum(coords) for coords in by_coordinate]\n",
    "    return  tuple(coordinate_sums)\n",
    "#  return  tuple(map(sum,zip(*vectors)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 三维向量的乘法"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "v * (x,y,z) = (xv , yv , zv)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 三维向量的减法"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$(x_1 ,y_1 , z_1) - (x_2 ,y_2 , z_2) = (x_1-x_2 , y_1-y_2 , z_1-z_2)$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***1 . 加减法是向量位移，乘法是改变大小***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 三维向量的计算长度和距离"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "长度 = $\\sqrt{(\\sqrt{x^2 + y^2})^2 + z^2} = \\sqrt{x^2 + y^2 + z^2}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from math import sqrt\n",
    "def length(v):\n",
    "    return sqrt(sum([coord ** 2 for coord in v]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 三维向量的计算角度和方向"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![jupyter](../images/img2-12.jpg)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1. 由长度r,角度$\\theta$和$\\phi$一起描述三维空间中的如何向量。这三个数组成了球坐标系"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*** 练习3.2 画出所有坐标是|1|的点 ***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm1 = [1,-1]\n",
    "vertices = [(x,y,z) for x in pm1 for y in pm1 for z in pm1]\n",
    "edges = [((-1,y,z),(1,y,z)) for y in pm1 for z in pm1] + [((x,-1,z),(x,1,z)) for x in pm1 for z in pm1] + [((x,y,-1),(x,y,1)) for x in pm1 for y in pm1]\n",
    "draw3d(Points3D(*vertices,color=blue), *[Segment3D(*edge) for edge in edges])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习3.3：将(4, 0, 3)和(-1, 0, 1)绘制为Arrow3D对象，使它们在三维空间中以两种顺序首尾相接。它们的向量和是多少？***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(3, 0, 4)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "addpoint = add((4, 0, 3),(-1, 0, 1))\n",
    "print(addpoint)\n",
    "draw3d(\n",
    "    Arrow3D((4, 0, 3),color=red),\n",
    "    Arrow3D((-1, 0, 1),color=blue),\n",
    "    Arrow3D((3, 0, 4),(4, 0, 3),color=blue),\n",
    "    Arrow3D((-1, 0, 1),(3, 0, 4),color=red),\n",
    "    Arrow3D((3, 0, 4),color=purple),\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习3.4：假设设置vectors1=[(1,2,3,4,5),(6,7,8,9,10)]和vectors2=[(1,2),(3,4),(5,6)]。在不使用Python求值的情况下，zip(\\*vectors1)和zip(\\*vectors2)的长度分别是多少？***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "解: zip(*vectors1)的长度是五，zip(*vectors2)的长度是2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习3.5（小项目）：下面的代码创建了一个包含24个Python向量的列表。这24个向量的和是多少？把这24个向量绘制成首尾相接的Arrow3D对象。***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "from math import sin, cos, pi vs = [(sin(pi*t/6), cos(pi*t/6), 1.0/3) for t in range(0,24)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(-4.440892098500626e-16, -7.771561172376096e-16, 7.9999999999999964)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from math import sin, cos, pi \n",
    "vs = [(sin(pi*t/6), cos(pi*t/6), 1.0/3) for t in range(0,24)]\n",
    "runing_sum=(0,0,0)\n",
    "arrows = []\n",
    "for v in vs:\n",
    "    next_sum = add(runing_sum,v)\n",
    "    arrows.append(Arrow3D(next_sum,runing_sum))\n",
    "    runing_sum = next_sum\n",
    "print(runing_sum)\n",
    "draw3d(*arrows)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习3.6：编写函数scale(scalar,vector)，返回输入标量乘以输入向量的结果。具体地说，这个函数要同时适用于二维和三维向量，以及有任意多坐标的向量。***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "def scale(scalar,vector):\n",
    "    return tuple((v*scalar) for v in vector)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(4, 6, 2)\n"
     ]
    }
   ],
   "source": [
    "print(scale(2,(2,3,1)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习3.7：设u=(1,-1,-1)和v=(0,0,2)。u+1/2(v-u)的结果是什么？***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$(1/2 , -(1/2), 1/2)$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习3.8：试着在不使用代码的情况下找到这个练习的答案，然后检查你的答案是否正确。二维向量(1, 1)的长度是多少？三维向量(1, 1, 1)的长度是多少？我们还没有讨论到四维向量，但是它们有四个坐标，而不是两个或三个。猜一下，坐标为(1, 1, 1, 1)的四维向量的长度是多少？***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$(1,1) = \\sqrt{2}$,$(1,1,1)=\\sqrt{3}$,$(1,1,1,1)=2$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习3.9（小项目）：坐标3、4和12能以任意顺序创建一个向量，其长度是整数13。这很不寻常，因为大多数数不是完全平方数，所以长度公式中的平方根通常返回无理数。找出另一组三个整数，以它们为坐标定义的向量也有整数长度。***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "解：已知当v=(x,y,z),$\\sqrt{x^2 + y^2 + z^2} = 整数$时。则(x,y,z)的向量长度数是完全平方数。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "设k是整数，得 vk = k(x,y,z) = (xk,yk,zk),导入求长度公式得：$\\sqrt{(xk)^2 + (yk)^2 + (zk)^2} = \\sqrt{x^2 k^2 + y^2 k^2 + z^2 k^2} = \\sqrt{k^2} * \\sqrt{x^2+y^2+z^2} $,而$\\sqrt{x^2+y^2+z^2}$的结果是完全平方数，所有kv也是完全平方数."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 查找n以内的完全平方数\n",
    "def find_perfect_squares(n):\n",
    "    result = []\n",
    "    for i in range(1, n+1):\n",
    "        if isqrt(i) ** 2 == i:\n",
    "            result.append(i)\n",
    "    return result\n",
    "    \n",
    "# 书上的方式\n",
    "def vectors_with_whole_number_length(max_coord=100):\n",
    "    for x in range(1,max_coord):\n",
    "        for y in range(1,x+1):\n",
    "          for z in range(1,y+1):\n",
    "                if length((x,y,z)).is_integer():\n",
    "                    print((x,y,z))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(2, 2, 1)\n",
      "(4, 4, 2)\n",
      "(6, 3, 2)\n",
      "(6, 6, 3)\n",
      "(7, 4, 4)\n",
      "(7, 6, 6)\n",
      "(8, 4, 1)\n",
      "(8, 8, 4)\n",
      "(9, 6, 2)\n",
      "(10, 10, 5)\n",
      "(11, 10, 2)\n",
      "(12, 4, 3)\n",
      "(12, 6, 4)\n",
      "(12, 9, 8)\n",
      "(12, 12, 1)\n",
      "(12, 12, 6)\n",
      "(14, 5, 2)\n",
      "(14, 8, 8)\n",
      "(14, 12, 12)\n",
      "(14, 14, 7)\n",
      "(15, 10, 6)\n",
      "(16, 8, 2)\n",
      "(16, 11, 8)\n",
      "(16, 13, 4)\n",
      "(16, 15, 12)\n",
      "(16, 16, 8)\n",
      "(17, 6, 6)\n",
      "(18, 6, 1)\n",
      "(18, 9, 6)\n",
      "(18, 12, 4)\n",
      "(18, 13, 6)\n",
      "(18, 14, 3)\n",
      "(18, 18, 9)\n",
      "(19, 8, 4)\n",
      "(20, 5, 4)\n",
      "(20, 12, 9)\n",
      "(20, 20, 10)\n",
      "(20, 20, 17)\n",
      "(21, 12, 12)\n",
      "(21, 16, 12)\n",
      "(21, 18, 14)\n",
      "(21, 18, 18)\n",
      "(22, 6, 3)\n",
      "(22, 14, 7)\n",
      "(22, 20, 4)\n",
      "(22, 21, 6)\n",
      "(22, 22, 11)\n",
      "(23, 10, 10)\n",
      "(23, 14, 2)\n",
      "(24, 8, 6)\n",
      "(24, 12, 3)\n",
      "(24, 12, 8)\n",
      "(24, 12, 11)\n",
      "(24, 16, 3)\n",
      "(24, 18, 16)\n",
      "(24, 24, 2)\n",
      "(24, 24, 12)\n",
      "(24, 24, 23)\n",
      "(25, 10, 2)\n",
      "(25, 20, 8)\n",
      "(26, 7, 2)\n",
      "(26, 18, 15)\n",
      "(26, 22, 19)\n",
      "(26, 26, 13)\n",
      "(27, 14, 6)\n",
      "(27, 18, 6)\n",
      "(27, 24, 8)\n",
      "(28, 10, 4)\n",
      "(28, 16, 7)\n",
      "(28, 16, 16)\n",
      "(28, 17, 4)\n",
      "(28, 21, 12)\n",
      "(28, 24, 3)\n",
      "(28, 24, 24)\n",
      "(28, 28, 14)\n",
      "(29, 22, 14)\n",
      "(29, 26, 2)\n",
      "(29, 28, 20)\n",
      "(30, 6, 5)\n",
      "(30, 15, 10)\n",
      "(30, 17, 6)\n",
      "(30, 18, 1)\n",
      "(30, 20, 12)\n",
      "(30, 25, 18)\n",
      "(30, 30, 7)\n",
      "(30, 30, 15)\n",
      "(31, 8, 8)\n",
      "(31, 24, 12)\n",
      "(32, 7, 4)\n",
      "(32, 8, 1)\n",
      "(32, 16, 4)\n",
      "(32, 22, 16)\n",
      "(32, 24, 9)\n",
      "(32, 26, 8)\n",
      "(32, 30, 24)\n",
      "(32, 32, 16)\n",
      "(33, 10, 6)\n",
      "(33, 24, 4)\n",
      "(33, 30, 6)\n",
      "(34, 12, 12)\n",
      "(34, 14, 13)\n",
      "(34, 19, 2)\n",
      "(34, 27, 18)\n",
      "(34, 31, 22)\n",
      "(34, 34, 17)\n",
      "(35, 14, 10)\n",
      "(35, 20, 20)\n",
      "(35, 28, 4)\n",
      "(35, 30, 30)\n",
      "(36, 8, 3)\n",
      "(36, 12, 2)\n",
      "(36, 12, 9)\n",
      "(36, 18, 12)\n",
      "(36, 24, 8)\n",
      "(36, 24, 23)\n",
      "(36, 26, 12)\n",
      "(36, 27, 24)\n",
      "(36, 28, 6)\n",
      "(36, 28, 27)\n",
      "(36, 31, 12)\n",
      "(36, 32, 9)\n",
      "(36, 33, 4)\n",
      "(36, 36, 3)\n",
      "(36, 36, 18)\n",
      "(37, 20, 16)\n",
      "(37, 36, 12)\n",
      "(38, 16, 8)\n",
      "(38, 18, 9)\n",
      "(38, 21, 18)\n",
      "(38, 27, 6)\n",
      "(38, 31, 14)\n",
      "(38, 34, 1)\n",
      "(38, 37, 34)\n",
      "(38, 38, 19)\n",
      "(39, 12, 4)\n",
      "(39, 18, 2)\n",
      "(40, 10, 8)\n",
      "(40, 16, 13)\n",
      "(40, 19, 8)\n",
      "(40, 20, 5)\n",
      "(40, 24, 15)\n",
      "(40, 24, 18)\n",
      "(40, 32, 25)\n",
      "(40, 40, 7)\n",
      "(40, 40, 20)\n",
      "(40, 40, 34)\n",
      "(41, 24, 12)\n",
      "(41, 28, 28)\n",
      "(41, 30, 30)\n",
      "(42, 7, 6)\n",
      "(42, 9, 2)\n",
      "(42, 15, 6)\n",
      "(42, 18, 11)\n",
      "(42, 21, 2)\n",
      "(42, 21, 14)\n",
      "(42, 24, 24)\n",
      "(42, 30, 19)\n",
      "(42, 32, 24)\n",
      "(42, 35, 6)\n",
      "(42, 36, 28)\n",
      "(42, 36, 36)\n",
      "(42, 39, 14)\n",
      "(42, 41, 6)\n",
      "(42, 42, 21)\n",
      "(42, 42, 31)\n",
      "(43, 18, 6)\n",
      "(43, 36, 24)\n",
      "(43, 38, 26)\n",
      "(44, 8, 5)\n",
      "(44, 12, 6)\n",
      "(44, 27, 12)\n",
      "(44, 28, 14)\n",
      "(44, 28, 23)\n",
      "(44, 32, 17)\n",
      "(44, 40, 8)\n",
      "(44, 40, 35)\n",
      "(44, 42, 12)\n",
      "(44, 44, 22)\n",
      "(45, 26, 18)\n",
      "(45, 30, 10)\n",
      "(45, 30, 18)\n",
      "(45, 36, 20)\n",
      "(46, 17, 14)\n",
      "(46, 20, 20)\n",
      "(46, 22, 1)\n",
      "(46, 28, 4)\n",
      "(46, 30, 3)\n",
      "(46, 37, 22)\n",
      "(46, 43, 2)\n",
      "(46, 45, 30)\n",
      "(46, 46, 23)\n",
      "(47, 14, 14)\n",
      "(47, 28, 16)\n",
      "(47, 32, 4)\n",
      "(48, 9, 4)\n",
      "(48, 16, 12)\n",
      "(48, 19, 12)\n",
      "(48, 21, 8)\n",
      "(48, 24, 6)\n",
      "(48, 24, 16)\n",
      "(48, 24, 22)\n",
      "(48, 29, 24)\n",
      "(48, 32, 6)\n",
      "(48, 33, 24)\n",
      "(48, 36, 11)\n",
      "(48, 36, 25)\n",
      "(48, 36, 32)\n",
      "(48, 39, 12)\n",
      "(48, 39, 20)\n",
      "(48, 44, 33)\n",
      "(48, 45, 36)\n",
      "(48, 45, 40)\n",
      "(48, 48, 4)\n",
      "(48, 48, 24)\n",
      "(48, 48, 46)\n",
      "(49, 10, 10)\n",
      "(49, 14, 2)\n",
      "(49, 28, 8)\n",
      "(49, 28, 28)\n",
      "(49, 42, 18)\n",
      "(49, 42, 42)\n",
      "(50, 10, 1)\n",
      "(50, 20, 4)\n",
      "(50, 30, 9)\n",
      "(50, 33, 30)\n",
      "(50, 37, 10)\n",
      "(50, 38, 5)\n",
      "(50, 40, 16)\n",
      "(50, 41, 38)\n",
      "(50, 42, 15)\n",
      "(50, 50, 25)\n",
      "(51, 12, 8)\n",
      "(51, 18, 10)\n",
      "(51, 18, 18)\n",
      "(51, 42, 26)\n",
      "(51, 46, 18)\n",
      "(51, 48, 32)\n",
      "(52, 14, 4)\n",
      "(52, 17, 16)\n",
      "(52, 23, 4)\n",
      "(52, 24, 21)\n",
      "(52, 36, 15)\n",
      "(52, 36, 30)\n",
      "(52, 44, 11)\n",
      "(52, 44, 38)\n",
      "(52, 52, 26)\n",
      "(53, 26, 22)\n",
      "(53, 34, 2)\n",
      "(53, 44, 4)\n",
      "(54, 10, 3)\n",
      "(54, 18, 3)\n",
      "(54, 22, 9)\n",
      "(54, 23, 6)\n",
      "(54, 27, 18)\n",
      "(54, 28, 12)\n",
      "(54, 33, 22)\n",
      "(54, 35, 30)\n",
      "(54, 36, 12)\n",
      "(54, 39, 18)\n",
      "(54, 42, 9)\n",
      "(54, 42, 19)\n",
      "(54, 45, 10)\n",
      "(54, 46, 3)\n",
      "(54, 47, 42)\n",
      "(54, 48, 16)\n",
      "(54, 54, 27)\n",
      "(55, 38, 34)\n",
      "(55, 44, 40)\n",
      "(55, 46, 22)\n",
      "(55, 50, 10)\n",
      "(56, 8, 7)\n",
      "(56, 20, 8)\n",
      "(56, 21, 12)\n",
      "(56, 24, 3)\n",
      "(56, 28, 7)\n",
      "(56, 29, 28)\n",
      "(56, 32, 14)\n",
      "(56, 32, 32)\n",
      "(56, 34, 8)\n",
      "(56, 35, 20)\n",
      "(56, 37, 16)\n",
      "(56, 40, 5)\n",
      "(56, 42, 24)\n",
      "(56, 48, 6)\n",
      "(56, 48, 48)\n",
      "(56, 49, 32)\n",
      "(56, 53, 52)\n",
      "(56, 55, 20)\n",
      "(56, 56, 17)\n",
      "(56, 56, 28)\n",
      "(57, 14, 6)\n",
      "(57, 24, 12)\n",
      "(57, 24, 20)\n",
      "(57, 36, 28)\n",
      "(57, 44, 12)\n",
      "(57, 54, 46)\n",
      "(58, 9, 6)\n",
      "(58, 22, 11)\n",
      "(58, 30, 15)\n",
      "(58, 33, 6)\n",
      "(58, 44, 28)\n",
      "(58, 52, 4)\n",
      "(58, 56, 40)\n",
      "(58, 58, 29)\n",
      "(59, 22, 2)\n",
      "(59, 32, 16)\n",
      "(59, 48, 12)\n",
      "(60, 12, 10)\n",
      "(60, 15, 12)\n",
      "(60, 20, 15)\n",
      "(60, 24, 7)\n",
      "(60, 30, 20)\n",
      "(60, 34, 12)\n",
      "(60, 36, 2)\n",
      "(60, 36, 27)\n",
      "(60, 40, 24)\n",
      "(60, 40, 27)\n",
      "(60, 45, 40)\n",
      "(60, 48, 5)\n",
      "(60, 50, 36)\n",
      "(60, 51, 32)\n",
      "(60, 55, 36)\n",
      "(60, 59, 12)\n",
      "(60, 60, 5)\n",
      "(60, 60, 14)\n",
      "(60, 60, 30)\n",
      "(60, 60, 47)\n",
      "(60, 60, 51)\n",
      "(61, 28, 16)\n",
      "(61, 32, 4)\n",
      "(61, 58, 22)\n",
      "(62, 10, 5)\n",
      "(62, 11, 2)\n",
      "(62, 16, 16)\n",
      "(62, 34, 25)\n",
      "(62, 41, 10)\n",
      "(62, 48, 24)\n",
      "(62, 50, 35)\n",
      "(62, 54, 39)\n",
      "(62, 58, 19)\n",
      "(62, 61, 2)\n",
      "(62, 62, 31)\n",
      "(63, 18, 14)\n",
      "(63, 22, 6)\n",
      "(63, 28, 24)\n",
      "(63, 36, 8)\n",
      "(63, 36, 36)\n",
      "(63, 42, 14)\n",
      "(63, 42, 34)\n",
      "(63, 48, 36)\n",
      "(63, 54, 2)\n",
      "(63, 54, 42)\n",
      "(63, 54, 54)\n",
      "(63, 56, 48)\n",
      "(64, 14, 8)\n",
      "(64, 16, 2)\n",
      "(64, 32, 8)\n",
      "(64, 33, 12)\n",
      "(64, 41, 28)\n",
      "(64, 44, 23)\n",
      "(64, 44, 32)\n",
      "(64, 47, 16)\n",
      "(64, 48, 18)\n",
      "(64, 48, 39)\n",
      "(64, 49, 8)\n",
      "(64, 52, 16)\n",
      "(64, 52, 43)\n",
      "(64, 57, 24)\n",
      "(64, 60, 15)\n",
      "(64, 60, 48)\n",
      "(64, 64, 32)\n",
      "(65, 42, 30)\n",
      "(65, 44, 20)\n",
      "(65, 64, 52)\n",
      "(66, 18, 9)\n",
      "(66, 19, 18)\n",
      "(66, 20, 12)\n",
      "(66, 26, 3)\n",
      "(66, 33, 22)\n",
      "(66, 34, 27)\n",
      "(66, 38, 21)\n",
      "(66, 38, 33)\n",
      "(66, 42, 11)\n",
      "(66, 42, 21)\n",
      "(66, 43, 6)\n",
      "(66, 47, 18)\n",
      "(66, 48, 8)\n",
      "(66, 55, 30)\n",
      "(66, 57, 26)\n",
      "(66, 60, 12)\n",
      "(66, 62, 9)\n",
      "(66, 62, 57)\n",
      "(66, 63, 18)\n",
      "(66, 66, 33)\n",
      "(67, 16, 4)\n",
      "(67, 36, 12)\n",
      "(67, 56, 32)\n",
      "(67, 64, 8)\n",
      "(67, 66, 42)\n",
      "(68, 11, 4)\n",
      "(68, 24, 24)\n",
      "(68, 27, 24)\n",
      "(68, 28, 26)\n",
      "(68, 36, 3)\n",
      "(68, 38, 4)\n",
      "(68, 41, 16)\n",
      "(68, 44, 1)\n",
      "(68, 45, 24)\n",
      "(68, 54, 36)\n",
      "(68, 62, 44)\n",
      "(68, 68, 34)\n",
      "(69, 30, 30)\n",
      "(69, 32, 12)\n",
      "(69, 34, 18)\n",
      "(69, 38, 6)\n",
      "(69, 42, 6)\n",
      "(69, 50, 42)\n",
      "(69, 56, 48)\n",
      "(69, 58, 30)\n",
      "(70, 23, 14)\n",
      "(70, 25, 10)\n",
      "(70, 26, 7)\n",
      "(70, 28, 20)\n",
      "(70, 30, 21)\n",
      "(70, 33, 30)\n",
      "(70, 38, 35)\n",
      "(70, 40, 40)\n",
      "(70, 42, 15)\n",
      "(70, 50, 13)\n",
      "(70, 50, 49)\n",
      "(70, 56, 8)\n",
      "(70, 60, 60)\n",
      "(70, 65, 26)\n",
      "(70, 66, 63)\n",
      "(70, 70, 1)\n",
      "(70, 70, 35)\n",
      "(71, 12, 12)\n",
      "(71, 22, 10)\n",
      "(71, 48, 24)\n",
      "(71, 54, 18)\n",
      "(72, 9, 8)\n",
      "(72, 12, 1)\n",
      "(72, 16, 6)\n",
      "(72, 24, 4)\n",
      "(72, 24, 13)\n",
      "(72, 24, 18)\n",
      "(72, 27, 4)\n",
      "(72, 36, 9)\n",
      "(72, 36, 24)\n",
      "(72, 36, 33)\n",
      "(72, 40, 21)\n",
      "(72, 45, 4)\n",
      "(72, 48, 9)\n",
      "(72, 48, 16)\n",
      "(72, 48, 46)\n",
      "(72, 52, 24)\n",
      "(72, 52, 39)\n",
      "(72, 54, 48)\n",
      "(72, 56, 12)\n",
      "(72, 56, 33)\n",
      "(72, 56, 54)\n",
      "(72, 60, 25)\n",
      "(72, 61, 36)\n",
      "(72, 62, 24)\n",
      "(72, 63, 16)\n",
      "(72, 64, 18)\n",
      "(72, 64, 51)\n",
      "(72, 66, 8)\n",
      "(72, 69, 16)\n",
      "(72, 69, 44)\n",
      "(72, 72, 6)\n",
      "(72, 72, 36)\n",
      "(72, 72, 49)\n",
      "(72, 72, 69)\n",
      "(73, 14, 10)\n",
      "(73, 36, 36)\n",
      "(73, 54, 6)\n",
      "(73, 64, 40)\n",
      "(73, 66, 42)\n",
      "(73, 70, 70)\n",
      "(74, 10, 7)\n",
      "(74, 21, 18)\n",
      "(74, 27, 6)\n",
      "(74, 33, 18)\n",
      "(74, 40, 32)\n",
      "(74, 47, 46)\n",
      "(74, 58, 31)\n",
      "(74, 59, 58)\n",
      "(74, 65, 10)\n",
      "(74, 72, 24)\n",
      "(74, 74, 37)\n",
      "(75, 30, 6)\n",
      "(75, 32, 24)\n",
      "(75, 50, 30)\n",
      "(75, 54, 22)\n",
      "(75, 58, 6)\n",
      "(75, 60, 24)\n",
      "(76, 12, 3)\n",
      "(76, 23, 16)\n",
      "(76, 28, 1)\n",
      "(76, 32, 16)\n",
      "(76, 36, 18)\n",
      "(76, 42, 36)\n",
      "(76, 43, 32)\n",
      "(76, 52, 13)\n",
      "(76, 53, 8)\n",
      "(76, 54, 12)\n",
      "(76, 62, 28)\n",
      "(76, 65, 32)\n",
      "(76, 68, 2)\n",
      "(76, 68, 25)\n",
      "(76, 74, 68)\n",
      "(76, 76, 38)\n",
      "(77, 34, 22)\n",
      "(77, 38, 14)\n",
      "(77, 44, 28)\n",
      "(77, 44, 44)\n",
      "(77, 52, 4)\n",
      "(77, 54, 42)\n",
      "(77, 66, 18)\n",
      "(77, 66, 66)\n",
      "(77, 68, 56)\n",
      "(77, 70, 14)\n",
      "(78, 11, 6)\n",
      "(78, 21, 6)\n",
      "(78, 24, 8)\n",
      "(78, 36, 4)\n",
      "(78, 39, 26)\n",
      "(78, 46, 9)\n",
      "(78, 50, 21)\n",
      "(78, 50, 45)\n",
      "(78, 54, 5)\n",
      "(78, 54, 45)\n",
      "(78, 57, 46)\n",
      "(78, 62, 39)\n",
      "(78, 65, 54)\n",
      "(78, 66, 13)\n",
      "(78, 66, 57)\n",
      "(78, 66, 61)\n",
      "(78, 67, 6)\n",
      "(78, 71, 18)\n",
      "(78, 73, 6)\n",
      "(78, 74, 51)\n",
      "(78, 78, 39)\n",
      "(79, 16, 8)\n",
      "(79, 18, 18)\n",
      "(79, 46, 38)\n",
      "(79, 58, 14)\n",
      "(79, 76, 68)\n",
      "(79, 78, 30)\n",
      "(80, 20, 16)\n",
      "(80, 32, 26)\n",
      "(80, 35, 32)\n",
      "(80, 36, 15)\n",
      "(80, 38, 16)\n",
      "(80, 40, 10)\n",
      "(80, 43, 20)\n",
      "(80, 48, 30)\n",
      "(80, 48, 36)\n",
      "(80, 55, 40)\n",
      "(80, 64, 23)\n",
      "(80, 64, 50)\n",
      "(80, 65, 20)\n",
      "(80, 68, 1)\n",
      "(80, 75, 60)\n",
      "(80, 80, 14)\n",
      "(80, 80, 40)\n",
      "(80, 80, 68)\n",
      "(81, 18, 2)\n",
      "(81, 28, 24)\n",
      "(81, 36, 8)\n",
      "(81, 42, 18)\n",
      "(81, 52, 12)\n",
      "(81, 54, 18)\n",
      "(81, 70, 42)\n",
      "(81, 72, 24)\n",
      "(81, 72, 32)\n",
      "(81, 76, 48)\n",
      "(82, 22, 19)\n",
      "(82, 26, 13)\n",
      "(82, 29, 2)\n",
      "(82, 39, 6)\n",
      "(82, 46, 31)\n",
      "(82, 48, 24)\n",
      "(82, 49, 26)\n",
      "(82, 56, 56)\n",
      "(82, 59, 46)\n",
      "(82, 60, 60)\n",
      "(82, 71, 58)\n",
      "(82, 74, 11)\n",
      "(82, 82, 41)\n",
      "(83, 22, 14)\n",
      "(83, 26, 2)\n",
      "(83, 64, 52)\n",
      "(83, 66, 54)\n",
      "(83, 76, 32)\n",
      "(83, 80, 20)\n",
      "(84, 12, 5)\n",
      "(84, 14, 12)\n",
      "(84, 18, 4)\n",
      "(84, 24, 17)\n",
      "(84, 28, 9)\n",
      "(84, 28, 21)\n",
      "(84, 30, 12)\n",
      "(84, 36, 22)\n",
      "(84, 42, 4)\n",
      "(84, 42, 28)\n",
      "(84, 43, 36)\n",
      "(84, 47, 12)\n",
      "(84, 48, 7)\n",
      "(84, 48, 21)\n",
      "(84, 48, 29)\n",
      "(84, 48, 48)\n",
      "(84, 51, 12)\n",
      "(84, 52, 21)\n",
      "(84, 56, 3)\n",
      "(84, 60, 35)\n",
      "(84, 60, 38)\n",
      "(84, 63, 36)\n",
      "(84, 63, 56)\n",
      "(84, 64, 27)\n",
      "(84, 64, 48)\n",
      "(84, 68, 33)\n",
      "(84, 69, 8)\n",
      "(84, 70, 12)\n",
      "(84, 72, 9)\n",
      "(84, 72, 23)\n",
      "(84, 72, 49)\n",
      "(84, 72, 56)\n",
      "(84, 72, 72)\n",
      "(84, 78, 28)\n",
      "(84, 81, 32)\n",
      "(84, 82, 12)\n",
      "(84, 84, 7)\n",
      "(84, 84, 23)\n",
      "(84, 84, 42)\n",
      "(84, 84, 62)\n",
      "(85, 30, 30)\n",
      "(85, 32, 20)\n",
      "(85, 42, 6)\n",
      "(85, 70, 14)\n",
      "(85, 80, 8)\n",
      "(86, 13, 2)\n",
      "(86, 30, 27)\n",
      "(86, 36, 12)\n",
      "(86, 38, 31)\n",
      "(86, 46, 17)\n",
      "(86, 47, 14)\n",
      "(86, 49, 2)\n",
      "(86, 53, 46)\n",
      "(86, 59, 38)\n",
      "(86, 70, 5)\n",
      "(86, 72, 48)\n",
      "(86, 76, 52)\n",
      "(86, 77, 70)\n",
      "(86, 86, 43)\n",
      "(87, 26, 6)\n",
      "(87, 46, 42)\n",
      "(87, 60, 40)\n",
      "(87, 62, 6)\n",
      "(87, 66, 42)\n",
      "(87, 68, 24)\n",
      "(87, 72, 4)\n",
      "(87, 76, 36)\n",
      "(87, 78, 6)\n",
      "(87, 84, 4)\n",
      "(87, 84, 60)\n",
      "(87, 84, 80)\n",
      "(87, 86, 66)\n",
      "(88, 16, 10)\n",
      "(88, 24, 12)\n",
      "(88, 28, 11)\n",
      "(88, 29, 8)\n",
      "(88, 33, 24)\n",
      "(88, 39, 12)\n",
      "(88, 41, 40)\n",
      "(88, 44, 11)\n",
      "(88, 54, 24)\n",
      "(88, 55, 16)\n",
      "(88, 56, 28)\n",
      "(88, 56, 46)\n",
      "(88, 56, 53)\n",
      "(88, 64, 34)\n",
      "(88, 64, 43)\n",
      "(88, 72, 69)\n",
      "(88, 76, 13)\n",
      "(88, 77, 4)\n",
      "(88, 80, 16)\n",
      "(88, 80, 70)\n",
      "(88, 84, 24)\n",
      "(88, 84, 63)\n",
      "(88, 88, 44)\n",
      "(89, 18, 6)\n",
      "(89, 42, 42)\n",
      "(89, 52, 20)\n",
      "(89, 62, 58)\n",
      "(89, 68, 64)\n",
      "(89, 82, 22)\n",
      "(89, 88, 88)\n",
      "(90, 10, 9)\n",
      "(90, 18, 15)\n",
      "(90, 22, 21)\n",
      "(90, 27, 14)\n",
      "(90, 30, 5)\n",
      "(90, 45, 22)\n",
      "(90, 45, 30)\n",
      "(90, 50, 3)\n",
      "(90, 51, 18)\n",
      "(90, 52, 36)\n",
      "(90, 54, 3)\n",
      "(90, 54, 47)\n",
      "(90, 55, 18)\n",
      "(90, 57, 10)\n",
      "(90, 60, 20)\n",
      "(90, 60, 36)\n",
      "(90, 63, 34)\n",
      "(90, 65, 30)\n",
      "(90, 70, 15)\n",
      "(90, 72, 40)\n",
      "(90, 75, 54)\n",
      "(90, 81, 50)\n",
      "(90, 82, 75)\n",
      "(90, 90, 21)\n",
      "(90, 90, 31)\n",
      "(90, 90, 45)\n",
      "(91, 48, 36)\n",
      "(91, 52, 52)\n",
      "(91, 58, 26)\n",
      "(91, 62, 14)\n",
      "(91, 68, 28)\n",
      "(91, 78, 42)\n",
      "(91, 78, 78)\n",
      "(92, 11, 8)\n",
      "(92, 13, 4)\n",
      "(92, 34, 28)\n",
      "(92, 36, 21)\n",
      "(92, 40, 31)\n",
      "(92, 40, 40)\n",
      "(92, 44, 2)\n",
      "(92, 44, 25)\n",
      "(92, 56, 8)\n",
      "(92, 60, 6)\n",
      "(92, 71, 56)\n",
      "(92, 74, 44)\n",
      "(92, 75, 60)\n",
      "(92, 76, 49)\n",
      "(92, 79, 44)\n",
      "(92, 84, 57)\n",
      "(92, 86, 4)\n",
      "(92, 89, 16)\n",
      "(92, 90, 60)\n",
      "(92, 91, 56)\n",
      "(92, 92, 46)\n",
      "(93, 24, 24)\n",
      "(93, 36, 16)\n",
      "(93, 42, 14)\n",
      "(93, 44, 36)\n",
      "(93, 66, 34)\n",
      "(93, 72, 36)\n",
      "(93, 74, 6)\n",
      "(93, 80, 24)\n",
      "(93, 88, 36)\n",
      "(93, 92, 24)\n",
      "(94, 26, 17)\n",
      "(94, 28, 28)\n",
      "(94, 31, 2)\n",
      "(94, 42, 3)\n",
      "(94, 46, 37)\n",
      "(94, 53, 26)\n",
      "(94, 56, 32)\n",
      "(94, 58, 11)\n",
      "(94, 59, 2)\n",
      "(94, 64, 8)\n",
      "(94, 66, 63)\n",
      "(94, 70, 67)\n",
      "(94, 81, 42)\n",
      "(94, 83, 50)\n",
      "(94, 87, 54)\n",
      "(94, 90, 15)\n",
      "(94, 94, 47)\n",
      "(95, 26, 10)\n",
      "(95, 40, 20)\n",
      "(95, 44, 8)\n",
      "(95, 60, 12)\n",
      "(95, 90, 6)\n",
      "(96, 12, 7)\n",
      "(96, 18, 8)\n",
      "(96, 21, 12)\n",
      "(96, 24, 3)\n",
      "(96, 27, 16)\n",
      "(96, 29, 12)\n",
      "(96, 32, 24)\n",
      "(96, 37, 36)\n",
      "(96, 38, 24)\n",
      "(96, 42, 16)\n",
      "(96, 44, 27)\n",
      "(96, 48, 12)\n",
      "(96, 48, 19)\n",
      "(96, 48, 32)\n",
      "(96, 48, 44)\n",
      "(96, 51, 8)\n",
      "(96, 58, 48)\n",
      "(96, 60, 53)\n",
      "(96, 64, 12)\n",
      "(96, 66, 48)\n",
      "(96, 72, 22)\n",
      "(96, 72, 27)\n",
      "(96, 72, 35)\n",
      "(96, 72, 50)\n",
      "(96, 72, 64)\n",
      "(96, 75, 28)\n",
      "(96, 78, 24)\n",
      "(96, 78, 40)\n",
      "(96, 80, 3)\n",
      "(96, 84, 77)\n",
      "(96, 88, 27)\n",
      "(96, 88, 66)\n",
      "(96, 90, 72)\n",
      "(96, 90, 80)\n",
      "(96, 92, 3)\n",
      "(96, 92, 33)\n",
      "(96, 96, 8)\n",
      "(96, 96, 48)\n",
      "(96, 96, 92)\n",
      "(97, 14, 14)\n",
      "(97, 40, 4)\n",
      "(97, 54, 30)\n",
      "(97, 64, 56)\n",
      "(97, 82, 74)\n",
      "(97, 84, 48)\n",
      "(97, 94, 58)\n",
      "(97, 96, 12)\n",
      "(98, 14, 1)\n",
      "(98, 20, 20)\n",
      "(98, 28, 4)\n",
      "(98, 35, 14)\n",
      "(98, 39, 18)\n",
      "(98, 42, 9)\n",
      "(98, 55, 50)\n",
      "(98, 56, 16)\n",
      "(98, 56, 56)\n",
      "(98, 62, 41)\n",
      "(98, 69, 42)\n",
      "(98, 70, 25)\n",
      "(98, 70, 61)\n",
      "(98, 71, 22)\n",
      "(98, 73, 14)\n",
      "(98, 74, 7)\n",
      "(98, 75, 30)\n",
      "(98, 78, 21)\n",
      "(98, 78, 69)\n",
      "(98, 84, 36)\n",
      "(98, 84, 84)\n",
      "(98, 86, 35)\n",
      "(98, 91, 86)\n",
      "(98, 98, 49)\n",
      "(99, 16, 12)\n",
      "(99, 22, 18)\n",
      "(99, 30, 18)\n",
      "(99, 36, 28)\n",
      "(99, 44, 12)\n",
      "(99, 54, 38)\n",
      "(99, 66, 2)\n",
      "(99, 66, 22)\n",
      "(99, 72, 12)\n",
      "(99, 72, 52)\n",
      "(99, 88, 12)\n",
      "(99, 90, 18)\n",
      "(99, 90, 70)\n"
     ]
    }
   ],
   "source": [
    "vectors_with_whole_number_length(100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习3.10：找到一个与(-1, -1, 2)方向相同但长度为1的向量。\n",
    "提示：找到合适的标量与原向量相乘，以适当地改变其长度。***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "解：$k * \\sqrt{(-1)^2 + (-1)^2 + 2^2}=1 => k * \\sqrt{6} = 1 => k = 1 / \\sqrt{6}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.4082482904638631\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 100,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 计算1/根号6的数\n",
    "l = 1/sqrt(6)\n",
    "print(l)\n",
    "ll = (-1*l,-1*l,2*l)\n",
    "sqrt(ll[0]*ll[0]+ll[1]*ll[1]+ll[2]*ll[2])"
   ]
  }
 ],
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